When assassinLee Harvey Oswald shot and killed President John F. Kennedy in Dallas, Texas, on November 22, 1963, Rudd was ordered by Hoover to collect from the Mexican government their law enforcement and intelligence files on Lee Harvey Oswald, including files relating to Oswald's connections to the pro-Fidel CastroFair Play for Cuba Committee, Oswald's several trips to and from Cuba, and his arrest in Mexico City. Rudd obtained Oswald's file from the Mexican government and flew a Cessna aircraft from Mexico City to Dallas, Texas, to provide the documents to FBI officials in Dallas as Kennedy's body was on its way to Washington, D.C., with Vice President Lyndon B. Johnson and widow Jacqueline Kennedy.
After leaving the FBI in 1970, Rudd moved to Arizona, where he became involved in politics. He was elected to the board of supervisors for Maricopa County in 1972. Four years later, he won election to the House of Representatives for Arizona's 4th congressional district, which then comprised the entire northeastern portion of the state. However, the bulk of its population was in the northern portion of the Valley of the Sun.
He defeated Democrat Tony Mason by only 707 votes. While Mason carried four of the district's five counties, he could not overcome a 17,100-vote deficit in the district's share of Maricopa County, which had more people than the rest of the district combined. He was easily re-elected four times, each time with more than 60 percent of the vote, and in 1984, he was completely unopposed.
A staunch anticommunist, Rudd was a tireless supporter of US anticommunist efforts in Central and South America, and he was the last American to visit with Nicaraguan President Anastasio Somoza Debayle, who was killed by Sandinista forces.
During the 1980 presidential election, Rudd, with help from FBI colleagues with access to security officials at the White House, allegedly obtained debate preparation documents prepared for President Jimmy Carter for his election debates against Republican nominee Ronald Reagan and provided the so-called "Carter debate papers" to the Reagan presidential campaign in the Debategate scandal.
